Quantitative Aptitude - Arithmetic Ability Questions

The sum of a fraction and 4 times its reciprocal is 13/3. What is the fraction?

The price of an article is cut by 36%, to restore to its original value, the new price must be increased by

Two numbers are in the ratio 2:5 and their HCF is 18. Their LCM is

A loan of Rs. 305 was taken at a certain rate per annum of compound interest, for 3 years. After 3 years the amount repaid was Rs. 670, calculate the rate of compound interest.

P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?

S, T and U started a business by investing Rs 4200, Rs 6300 and Rs 8400 respectively. S left the business after 3 months, T left 6 months after the business had started and U remained in the business till one year. At the end of one year the total profit is Rs 6000. What is the U’s share (in Rs) in the profit?

X and Y started a business investing Rs 12000 and Rs 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs 12500. What is the share (in Rs) of Z in the profit?

What is the simplified value of [2/(cot A – tan A)]?